{{questionData.apptitle}}

This investigation will allow you to experiment with different values of $d$ in the equation $y = \sin⁡ (x - d)$ to see what effect it has on the graph of $y = \sin⁡ x$.

In this investigation, there are two sections for you to explore:

When you've completed both sections, you'll be given a short summary of the role of $d$ in $y = \sin⁡ (x - d)$ in the transformation of $y = \sin⁡ x$. The investigation will conclude with a short matching exercise.

{{graph.graphLabel}}

{{questionData.infobox[currentQuestion].info}}

{{table.tableheader}}

Equation

Amplitude

Period (°)

Domain

Range

\(x\)-int

\(y\)-int

Min. value

Max. value

{{value}}

{{questionData.discoverytable[0].tableheader}}

Value of $d$

Transformation of $y = \sin ⁡x$

Does not change

Changes

{{value}}

Match the graph with it's equation:

You scored {{score}} / {{numquestions}}

{{feedback}}